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4 years ago

The width of a rectangle is 2/5 its length. Find the dimensions if the perimeter is 42 meters.

Mathematics

1 answer:

Olin [163]4 years ago

3 0

The formula to find the perimeter of a rectangle is P= 2(l+w). By substituting what we now knowin to the equation:

•42=2(l+(2/5l)). We can have width represented at (2/5l) because it’s now 2/5 of the length. Now add them together to get a single coefficient for l.

•42= 2(7/5l). Multiplying 7/5 by 2.

42= (14/5l). Multiplying both sides by the reciprocal of 14/5, which is 5/14, to get l by itself.

•l= 15.

Now that we now know the value of l, we know that the length is 15m. To find the width of the answer, we then multiply 15 by 2/5, which equals 6. Therefore, the only third option is correct because the length is 15m and the width is 6m.

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An archer hits his target 80% of the time. If he shoots 7 arrows, what is the probability of each event

n200080 [17]

Answer:

The probability is that he hits 5.6 out of 7 attempts.

Step-by-step explanation:

Given that an archer hits his target 80% of the time, if he shoots 7 arrows, to determine what is the probability of each event, the following calculation must be performed:

7 x 80/100 = X

560/100 = X

5.6 = X

Therefore, the probability is that he hits 5.6 out of 7 attempts.

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3 years ago

Graph the numbers that are solutions to x+7>9 and 8x≤64.

faltersainse [42]

Answer:

2 to 8 and 8 to -2

Step-by-step explanation:

7 0

3 years ago

Neva fannin ordered concert tickets which cost $3.50 for adults and $2.50 for students. she ordered 4 more student tickets than

zhenek [66]

Let number of adult tickets be a , therefore number of student ticket be a+4 .

And total cost of the tickets is 58, that is

$3.50a +2.50(a+4)=58$

Distributing 2.50 on a+4

$3.50a+2.50a+10=58$

Combining like terms

$6a=48
\\
a=8$

Number of adult tickets are 8 and number of students tickets are 12.

6 0

4 years ago

Question

kirill [66]

Answer: 40 mg

Unitary method:

For 3kg --> 8mg

For 1kg --> 8/3 mg

For 15kg--> (8/3) * 15

--> 40 mg

7 0

2 years ago

Your time spent playing pool and ice skating must not exceed 20 hours a week. Your weekly allowance is $80. You pay $3 an hour p

Anton [14]

Answer:

The graph in the attached figure

Two possible solutions are the point (10,10) and the point (4,8)

see the explanation

Step-by-step explanation:

Let

x ----> the time in hours spent playing pool in a week

y ----> the time in hours spent for ice skating in a week

we know that

$x+y \leq 20$ ----> inequality A

$3x+5y \leq 80$ -----> inequality B

using a graphing tool

The solution is the shaded area

see the attached figure

Remember that the time can not be a negative number

If a ordered pair is a solution of the system of inequalities, then the ordered par must lie on the shaded area of the solution

Looking at the graph

Two possible solutions are

(10,10) ----> this point lie on the shaded area of solution

That means -----> The time in hours spent playing pool in a week is 10 and the time in hours spent for ice skating in a week is 10

(4,8) ----> this point lie on the shaded area of solution

That means -----> The time in hours spent playing pool in a week is 4 and the time in hours spent for ice skating in a week is 8

7 0

3 years ago